1. (More doughnut shop adventures) Suddenly you remember that your best friend desperately wants a cake doughnut, so you ask for two arbitrarily chosen cake doughnuts instead.
(a) What is the probability that you get both double-chocolate doughnuts?
(b) What is the probability that you receive the blueberry doughnut?
2. (Still about the same doughnut shop) Supposing you are getting three arbitrary doughnuts . . . is getting at least one raised doughnut independent of getting at least one doughnut with sprinkles?